### Abstract

Invariance principles are proved under diffusive scaling for the centered position of a tagged particle in the simple exclusion process with asymmetric nonzero drift jump probabilities in dimensions d ≥ 3. The method of proof is by martingale techniques which rely on the fact that symmetric random walks are transient in high dimensions.

Original language | English (US) |
---|---|

Pages (from-to) | 972-1006 |

Number of pages | 35 |

Journal | Communications on Pure and Applied Mathematics |

Volume | 53 |

Issue number | 8 |

State | Published - Aug 2000 |

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### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Communications on Pure and Applied Mathematics*,

*53*(8), 972-1006.

**Diffusive limit of a tagged particle in asymmetric simple exclusion processes.** / Sethuraman, Sunder; Varadhan, Srinivasa; Yau, Horng Tzer.

Research output: Contribution to journal › Article

*Communications on Pure and Applied Mathematics*, vol. 53, no. 8, pp. 972-1006.

}

TY - JOUR

T1 - Diffusive limit of a tagged particle in asymmetric simple exclusion processes

AU - Sethuraman, Sunder

AU - Varadhan, Srinivasa

AU - Yau, Horng Tzer

PY - 2000/8

Y1 - 2000/8

N2 - Invariance principles are proved under diffusive scaling for the centered position of a tagged particle in the simple exclusion process with asymmetric nonzero drift jump probabilities in dimensions d ≥ 3. The method of proof is by martingale techniques which rely on the fact that symmetric random walks are transient in high dimensions.

AB - Invariance principles are proved under diffusive scaling for the centered position of a tagged particle in the simple exclusion process with asymmetric nonzero drift jump probabilities in dimensions d ≥ 3. The method of proof is by martingale techniques which rely on the fact that symmetric random walks are transient in high dimensions.

UR - http://www.scopus.com/inward/record.url?scp=0034408939&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034408939&partnerID=8YFLogxK

M3 - Article

VL - 53

SP - 972

EP - 1006

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

SN - 0010-3640

IS - 8

ER -